Topological quantum phase transition between Fermi liquid phases in an Anderson impurity model

Abstract

We study a generalized Anderson model that mixes two localized configurations --one formed by two degenerate doublets and the other by a triplet with single-ion anisotropy $D{S}_z^2$-- by means of two degenerate conduction channels. The model has been derived for a single Ni impurity embedded into an O-doped Au chain. Using the numerical renormalization group, we find a topological quantum phase transition, at a finite value $D_c,$ between two regular Fermi liquid phases of high (low) conductance and topological number $2I_L/\pi =0$ (-1) for $D<D_c$ ($D>D_c$), where $I_L$ is the well-known Luttinger integral. At finite temperature the two phases are separated by a non-Fermi liquid phase with fractional impurity entropy $\frac{1}{2}\ln 2$ and other properties which remind those of the two-channel Kondo model.

6 pages + Supplemental Material, 8 figures

References in corpus (13)

• Mechanical Control of Spin States in Spin-1 Molecules and the Underscreened Kondo Effect
• Quantum phase transition in a single-molecule quantum dot
• Evolution of electronic structure of doped Mott insulators - reconstruction of poles and zeros of Green's function
• Hybrid superconductor-semiconductor devices made from self-assembled SiGe nanocrystals on silicon
• Correlated electron physics in multilevel quantum dots: phase transitions, transport, and experiment
• Topological interpretation of Luttinger theorem
• Incommmensurability and unconventional superconductor to insulator transition in the Hubbard model with bond-charge interaction
• General Hubbard model for strongly interacting fermions in an optical lattice and its phase detection
• Quantum Transport Through a Stretched Spin--1 Molecule
• Fermi Liquids and the Luttinger Integral
• Magnetic field induced quantum criticality and the Luttinger sum rule
• Kondo physics in a Ni impurity embedded in O-doped Au chains
• Kondo behavior and conductance through $3d$ impurities in gold chains doped with oxygen

Cited by in corpus (8)

• Connecting the Many-Body Chern Number to Luttinger's Theorem through Středa's Formula
• Fully compensated Kondo effect for a two-channel spin S=1 impurity
• Iron phthalocyanine on Au(111) is a "non-Landau" Fermi liquid
• Low-energy physics for an iron phthalocyanine molecule on Au(111)
• Topological quantum phase transition in individual Fe Atoms on MoS${}_2$/Au(111)
• The Weyl-Mott point: topological and non-Fermi liquid behavior from an isolated Green's function zero
• Quantum entanglement in a pure state of strongly correlated quantum impurity systems
• Topological charge excitations and Green's function zeros in paramagnetic Mott insulators